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Finding the Third Proportional to 123,814,766 and 186,034,150

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Solution

The third proportional to 123,814,766 and 186,034,150 is: 279,520,012.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,814,766 : 186,034,150 = 186,034,150 : x
  2. Step 2: Convert to fraction form
    123,814,766/186,034,150 = 186,034,150/x
  3. Step 3: Cross multiply
    123,814,766x = 186,034,150 × 186,034,150
  4. Step 4: Simplify right side
    123,814,766x = 34,608,704,966,222,500
  5. Step 5: Solve for x
    x = 34,608,704,966,222,500/123,814,766
  6. Step 6: Final answer
    x = 279,520,012.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.